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Finding the Third Proportional to 319,485 and 681,592.50

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Solution

The third proportional to 319,485 and 681,592.50 is: 1,454,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,485 : 681,592.50 = 681,592.50 : x
  2. Step 2: Convert to fraction form
    319,485/681,592.50 = 681,592.50/x
  3. Step 3: Cross multiply
    319,485x = 681,592.50 × 681,592.50
  4. Step 4: Simplify right side
    319,485x = 464,568,336,056.25
  5. Step 5: Solve for x
    x = 464,568,336,056.25/319,485
  6. Step 6: Final answer
    x = 1,454,116.27

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.